3(x+6)+7=10x-18

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Solution for 3(x+6)+7=10x-18 equation:


Simplifying
3(x + 6) + 7 = 10x + -18

Reorder the terms:
3(6 + x) + 7 = 10x + -18
(6 * 3 + x * 3) + 7 = 10x + -18
(18 + 3x) + 7 = 10x + -18

Reorder the terms:
18 + 7 + 3x = 10x + -18

Combine like terms: 18 + 7 = 25
25 + 3x = 10x + -18

Reorder the terms:
25 + 3x = -18 + 10x

Solving
25 + 3x = -18 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
25 + 3x + -10x = -18 + 10x + -10x

Combine like terms: 3x + -10x = -7x
25 + -7x = -18 + 10x + -10x

Combine like terms: 10x + -10x = 0
25 + -7x = -18 + 0
25 + -7x = -18

Add '-25' to each side of the equation.
25 + -25 + -7x = -18 + -25

Combine like terms: 25 + -25 = 0
0 + -7x = -18 + -25
-7x = -18 + -25

Combine like terms: -18 + -25 = -43
-7x = -43

Divide each side by '-7'.
x = 6.142857143

Simplifying
x = 6.142857143

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